Table 3.

Parameter estimates obtained with simulated dataset 1

	${\stackrel{\mathbf{~}}{\mathbf{\ell }}}_{\mathbf{y}\mathbf{\mid }{\mathbf{m}}^{\mathbf{o}}}\mathbf{+}{\stackrel{\mathbf{~}}{\mathbf{\ell }}}_{\mathit{\text{mark}}}$	${\stackrel{\mathbf{~}}{\mathbf{\ell }}}_{\mathit{\text{mark}}}$&${\stackrel{\mathbf{~}}{\mathbf{\ell }}}_{\mathbf{y}\mathbf{\mid }{\mathbf{m}}^{\mathbf{o}}}$
$\widehat{\gamma }$	0.524	0.542
$\widehat{\tilde{s}}/(p/2)$	1.068	1.081
$\widehat{\omega }$	0.005	0.005
${\widehat{\sigma }}_a$	1.186	1.355
${\widehat{\sigma }}_e$	2.370	2.312

Parameters were estimated either, jointly using the full log-likelihood $\tilde{\ell }={\tilde{\ell }}_{\mathbf{y}\mid {\mathbf{m}}^o}+{\tilde{\ell }}_{\mathit{\text{mark}}}$, or by first estimating γ and $\tilde{s}$ using ${\tilde{\ell }}_{\mathit{\text{mark}}}$ and then the other parameters using ${\tilde{\ell }}_{\mathbf{y}\mid {\mathbf{m}}^o}$.